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Elongated U(1) Instantons on Noncommutative R^4

We found an exact solution of elongated U(1) instanton on noncommutative R^4 for general instanton number k. The deformed ADHM equation was solved with general k and the gauge connection and the curvature were given explicitly. We also checked our solutions and evaluated the instanton charge by a numerical calculation.

preprint2002arXivOpen access

Tomomi Ishikawa Shin-Ichiro Kuroki Akifumi Sako

math-ph math.MP math.AG hep-th

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Tomomi Ishikawa Shin-Ichiro Kuroki Akifumi Sako

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Elongated U(1) Instantons on Noncommutative R^4

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